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Updated: May 29, 2026

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
Statistical pattern classification with binary variables
T Y Young1, P S Liu, R J Rondon
1SENIOR MEMBER, IEEE, Department of Electrical Engineering, University of Miami, Coral Gables, FL 33124.
Abstract:
Binary random variables are regarded as random vectors in a binary-field (modulo-2) linear vector space. A characteristic function is defined and related results derived using this formulation. Minimax estimation of probability distributions using an entropy criterion is investigated, which leads to an A-distribution and bilinear discriminant functions. Nonparametric classification approaches using Hamming distances and their asymptotic properties are discussed. Experimental results are presented.
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